Communication: Nonexistence of a critical point within the Kirkwood superposition approximation | Zendy

J. Piasecki | Zendy; Piotr Szymczak | Zendy; John J. Kozak | Zendy

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Communication: Nonexistence of a critical point within the Kirkwood superposition approximation

Author(s) -

J. Piasecki,

Piotr Szymczak,

John J. Kozak

Publication year - 2013

Publication title -

the journal of chemical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.071

H-Index - 357

eISSN - 1089-7690

pISSN - 0021-9606

DOI - 10.1063/1.4824388

Subject(s) - superposition principle , argument (complex analysis) , critical point (mathematics) , dimension (graph theory) , point (geometry) , mathematics , mathematical physics , physics , statistical physics , mathematical analysis , pure mathematics , geometry , biochemistry , chemistry

An analytic argument is given to show that the application of the Kirkwood superposition approximation to the description of fluid correlation functions precludes the existence of a critical point. The argument holds irrespective of the dimension of the system and the specific form of the interaction potential and settles a long-standing controversy surrounding the nature of the critical behavior predicted within the approximation.

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